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Finding the Fourth Proportional to 3,436.72, 5,153.14 and 1,096.28

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Solution

The fourth proportional to 3,436.72, 5,153.14 and 1,096.28 is: 1,643.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,436.72 : 5,153.14 = 1,096.28 : x
  2. Step 2: Convert to fraction form
    3,436.72/5,153.14 = 1,096.28/x
  3. Step 3: Cross multiply
    3,436.72x = 5,153.14 × 1,096.28
  4. Step 4: Simplify right side
    3,436.72x = 5,649,284.32
  5. Step 5: Solve for x
    x = 5,649,284.32/3,436.72
  6. Step 6: Final answer
    x = 1,643.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.